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Number of n X 4 0..3 arrays with every element plus 1 mod 4 equal to some element at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) (1,-1) or (1,0), with upper left element zero.
1

%I #6 Apr 17 2022 22:20:34

%S 0,395,46669,4917221,534794424,58169902939,6324036210246,

%T 687555458611667,74752174764687123,8127170663355813491,

%U 883598453307356693716,96066179664937465210288,10444462440985215578690505

%N Number of n X 4 0..3 arrays with every element plus 1 mod 4 equal to some element at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) (1,-1) or (1,0), with upper left element zero.

%C Column 4 of A278272.

%H R. H. Hardin, <a href="/A278269/b278269.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

%e ..0..1..0..1. .0..2..3..1. .0..1..1..3. .0..0..2..3. .0..0..0..1

%e ..0..2..2..0. .1..0..3..2. .3..2..2..0. .1..1..0..2. .1..2..0..2

%e ..1..3..1..0. .3..0..1..2. .0..1..3..1. .2..3..2..3. .0..3..1..3

%Y Cf. A278272.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 16 2016